Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 75: Quantum Computation: Simulation II

FM 75.3: Talk

Donnerstag, 26. September 2019, 14:30–14:45, 1010

Robust Hamiltonian learning of Bose-Hubbard models — •Ingo Roth, Dominik Hangleiter, Lara Booth, Christian Krumnow, Juani Bermejo-Vega, and Jens Eisert — Freie Universität, Berlin, Deutschland

Complex quantum many-body systems can increasingly be controlled with unprecedented precision opening up tremendous potential for quantum analogue simulators as a near-term quantum technology. One of the key problems in the study of quantum simulators is to find ways to certify the correctness of the implementation of the Hamiltonian dynamics from data. In this work, we develop a flexible signal processing framework for the recovery of Hamiltonian models combining super-resolution techniques and non-convex recovery algorithms. We specificably explore the algorthmic approach in the context of learning quadratic Bose-Hubbard Hamiltonians in an experiment with super-conducting qubits in collaboration with the Quantum group at Google AI. We arrive at an efficient and very robust learning scheme for such Hamiltonian models. This work provides a essential tool for the high-precision calibration of control models in the experimental implementation.